Recent content by justsof

T(1) = 3 + 2x + 4X^2 T(x) = 2 + 2x2 T(x^2) = 4 + 2x+ 3x^2 since they are linear: T(a_1+a_2x+a_3x^2)=(a_1(3 + 2x + 4X^2) + a_2 (2 + 2x2) + a_3 (4 + 2x+ 3x^2))

No Mark! cosθ = 1 for θ = n*2pi, so you are correct TsAmE. but you indeed made an error with the sinus: sin(x)= 0 for x = n*pi

When is -2sinθ(1 - cosθ) equal to zero according to you? (check again I mean)

σ = ωi*t + ½ α*t^2 You can't write this as: t + t^2 = 2 * σ/(ωi * α) You can't divide only 1 half of the equation by something... then you'll just change it. Like dividing by 1/2 a would give: t^2 + 2ωi/a*t = 2σ/a You just can't simplify it like you do. And your third step is not correct either...

integrating a circle = integrating to find the surface of a circle? You should check out Green's theorem, it connects line/contour integration in 2D with surface integration.

I think it is the right approach, but ask yourself; why are you using the dot product? Is there a property of the dot product that you can use? And what does it mean if this product is zero?

Vectors can span a space, so maybe your vectors span R3. How could you check this?

\frac{x-1}{1+x} = \frac{x+1-2}{x+1} = ... ?

Respect that you take the time to post such an extensive answer to someone who seems not to care so much since he is copy pasting most of his questions... That's so sad...

Basically you start with an interval where you think the zero would be (an - bn)(where f(an)>0 and f(bn)<0 or the other way around), determine the middle point in this interval cn, and use f(cn) to determine if your zero is in the left part or the right part of the halved interval. Continue this...

You are right, sorry, I meant multiplying by (x+a)(sqrt(x)+sqrt(a)) but didn't think it over.

Ah, took me a while but you should rather multiply nominator and denominator (x^{\frac{1}{2}}+a^{\frac{1}{2}})(x+a) so you can REALLY evaluate the limit with ease :)

L'Hôpital's rule does the job here, check http://en.wikipedia.org/wiki/L'H%C3%B4pital's_rule , but as I'm not such a fan of L'Hôpital there is usually a way to work yourself around hopital but I don't see it at this moment. Again, use L'Hôpital for an easy way out here!

I think everything is correct, why would you think the range of g(f(x)) is the same as the range of g(x)?

any problems with the following questions? How many miles do you travel in 1 revolution? How many miles per minute do you travel with 1 revolution per minute? How many miles per hour do you travel with 1 revolution per minute?